Would a Successful Muhammad Ali Egypt conquer lake Victoria

Would an Egypt that Retains Muhammad Ali's conquests be able to push south and conquer the area around lake Victoria

Would they be able to Arabize the area and hold onto it long term
 
The largest swamp in the world is located in South Sudan, the Sudd, right in the middle of your proposed Egypt. This effectively prevents any fast transport through or easy military access to the region. The name derives from Arabic sadd, literally meaning "obstruction"; just something to consider.
 
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They had South Sudan in OTL and they weren't able to Arabize it, so they definitely wouldn't be able to Arabize the Great Lakes region. Even holding it is difficult, since the population density was very high, the Sudd is in the way, and they'd be conquering some very organised states.

Long-term the region would have rapid population growth as in OTL and almost certainly split from Egypt by then if it hasn't already. Assuming Europeans don't cleave it off Egypt before then, a distinct possibility.
 
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